An extension of asymptotically lacunary statistical equivalence set sequences
Journal of Inequalities and Applications, cilt.2014, sa.1, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2014 Sayı: 1
- Basım Tarihi: 2014
- Doi Numarası: 10.1186/1029-242x-2014-134
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Asymptotically equivalence, Cesàro summability, Lacunary sequence, Sequences of sets, Statistical convergence, Wijsman convergence
- Sivas Cumhuriyet Üniversitesi Adresli: Hayır
Özet
This paper presents, for sequences of sets, the notions of asymptotically lacunary statistical equivalence (in the sense of Wijsman) of multiplicity L, strongly asymptotically lacunary p-equivalence (in the sense of Wijsman) of multiplicity L and strongly Cesàro asymptotically p-equivalence (in the sense of Wijsman) of multiplicity L. In addition to these definitions, inclusion theorems are also presented. © 2014 Ulusu and Savas; licensee Springer.